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Finding the Fourth Proportional to 2,135.74, 2,948.01 and 1,251.37

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Solution

The fourth proportional to 2,135.74, 2,948.01 and 1,251.37 is: 1,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.74 : 2,948.01 = 1,251.37 : x
  2. Step 2: Convert to fraction form
    2,135.74/2,948.01 = 1,251.37/x
  3. Step 3: Cross multiply
    2,135.74x = 2,948.01 × 1,251.37
  4. Step 4: Simplify right side
    2,135.74x = 3,689,060.32
  5. Step 5: Solve for x
    x = 3,689,060.32/2,135.74
  6. Step 6: Final answer
    x = 1,727.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.